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- 1. Multiple ChoiceA distribution showing the sample means of all sample of size n of a population is calledNormal DistributionBinomial DistributionSampling DistributionUniform Distribution
- 2. Multiple ChoiceIf a sampling distribution of sample means has a sample size less than 30:the shape will be Normalthe shape will be between the shape of the population and Normalthe shape will not be Normalthere is no way we can detrmine the shape
- 3. Multiple ChoiceCalculate μx-bar and σx-bar if μ = 794, σ = 48, and n = 64μx-bar = 794, σx-bar = 0.75μx-bar = 12.4, σx-bar = 0.75μx-bar =794, σx-bar = 6μx-bar = 99.25, σx-bar = 6
- 4. Multiple ChoiceThe average cost for a gallon of gasoline is $2.51 (source AAA.org) with a standard deviation of $0.42. Find the mean and standard error of the sampling distribution if n = 49μx-bar = 2.51, σx-bar = 0.06μx-bar = 0.358, σx-bar = 0.06μx-bar = 2.51, σx-bar = 0.06μx-bar = 2.51, σx-bar = 0.857
- 5. Multiple ChoiceThe average cost for a gallon of gasoline is $2.51 (source AAA.org) with a standard deviation of $0.42. These prices are strongly right-skewed. What is the shape of the sampling distribution if n = 49?Strongly Right SkewedApproximately Bell ShapedRoughly UniformStrongly left skewed
- 6. Multiple ChoiceThe average cost for a gallon of gasoline is $2.51 (source AAA.org) with a standard deviation of $0.42. Find the mean and standard error of the sampling distribution if n is decreased to 25.μx-bar = 2.51, σx-bar = 0.06μx-bar = 2.51, σx-bar = 0.084μx-bar = 0.52, σx-bar = 0.084μx-bar = 2.51, σx-bar = 0.42
- 7. Multiple ChoiceThe normal approximation of a binomial can be used ifn ≥ 30p ≥ 30np ≥ 5 or nq ≥ 5np ≥ 5 and nq ≥ 5
- 8. Multiple Choice
Dr. Mury's last chemistry test was normally distributed with a mean of 68 and a standard deviation of 12. Random samples of size 16 are drawn from the population. Find the mean of the sample means and the standard error of the sampling distribution.
μx-bar = 68, σx-bar = 0.75
μx-bar = 17, σx-bar = 3
μx-bar = 17, σx-bar = 12
μx-bar = 68, σx-bar = 3
- 9. Multiple ChoiceThe mean weight of potato chip bags is 10.5 ounces with a standard deviation of 3 ounces. A random sample of 40 bags of potato chips is selected. What is the probability that the mean of the sample is less than 10 ounces?P = -1.05P = .1469P = .0202P = .8531
- 10. Multiple Choice
The mean distance an ASA student travels to school is 5.6 miles with a standard deviation of 1.7 miles. Mrs. Dugger finds the mean of her 4th period class - a randomly selected sample of 29 students. What is the probability that the mean of her class is more than 6 miles?
P = 0.00
P = 0.1020
P = 0.8980
P = 1.27
- 11. Multiple Choice
The mean distance an ASA student travels to school is 5.6 miles with a standard deviation of 1.7 miles. Is it more likely to find one student that travels more than 6 miles to school or a mean of a sample of 29 students that travel more than 6 miles?
It is more likely to find 1 student that travels more than 6 miles to school
It is more likely to find a sample of 29 students whose mean is greater than 6 miles
Both equally likely
There is not enough information to answer this question
- 12. Multiple ChoiceA recent survey finds that 35% of US households have at least one dog. You randomly choose 50 households to ask if they have a dog. Could you use the Normal Approximation for this?Yes, both np and nq are at least 5No, np is less than fiveNo, nq is less than fiveNo, this is not a binomial
- 13. Multiple Choice
It is estimated that 45% of the 10th grade class will go on the class trip this year. If you randomly choose 10 sophomores and ask them if they are going on the trip, could you use the Normal Approximation to predict these results?
Yes, both np and nq are greater than 5
No, np is less than five
No, nq is less than five
Yes, either np or nq are greater than 5
- 14. Multiple ChoiceIf you are to find P (x̄ ≥ 10) that meansthe probability that the sample mean is less than 10the probability that the sample mean is no more than 10the probability that the sample mean is at least 10the probability that the sample mean is more than 10
- 15. Multiple Choice
A recent survey finds that 35% of US households have at least one dog. You randomly choose 50 households to ask if they have a dog. Calculate the mean and standard deviation of this as a binomial.
not enough information to calculate μ and σ
μ = 17.5, σ = 3.37
μ = 4.18, σ = 11.37
μ = 17. 5, σ = 11.37
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